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Popular >

derivative of f(x)=-3cos(x)-(x^2)/2+20

Solution

derivative of

f (x) = - 3 cos (x) - \frac{x ^{2}}{2} + 20

Solution

- x + 3 sin (x)

Solution steps

\frac{d}{d x} (- 3 cos (x) - \frac{x ^{2}}{2} + 20)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (3 cos (x)) - \frac{d}{d x} (\frac{x ^{2}}{2}) + \frac{d}{d x} (20)

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

\frac{d}{d x} (\frac{x ^{2}}{2}) = x

\frac{d}{d x} (20) = 0

= - (- 3 sin (x)) - x + 0

Simplify

= - x + 3 sin (x)

Popular Examples

(\partial)/(\partial x)(u^2)

\frac{\partial}{\partial x} (u^{2})

integral of ((x^3))/(x-1)

\int \frac{( x ^{3} )}{x - 1} d x

maclaurin x/(1+x)maclaurin

\frac{x}{1 + x}

(\partial)/(\partial x)(x/(y^3)+(3y)/(x^3))

\frac{\partial}{\partial x} (\frac{x}{y ^{3}} + \frac{3 y}{x ^{3}})

tangent of x^2-5x+5(0.5)tangent of

x^{2} - 5 x + 5 (0.5)

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-3cos(x)-(x^2)/2+20 ?
The derivative of f(x)=-3cos(x)-(x^2)/2+20 is -x+3sin(x)
What is the first derivative of f(x)=-3cos(x)-(x^2)/2+20 ?
The first derivative of f(x)=-3cos(x)-(x^2)/2+20 is -x+3sin(x)